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Condorcet Choice Functions And Maximal Elements

Author

Listed:
  • Josep Enric Peris Ferrando

    () (Universidad de Alicante)

  • Begoña Subiza Martínez

    () (Universidad de Alicante)

Abstract

Choice functions on tournaments always select the maximal element (Condorcet winner), provided they exist, but this property does not hold in the more general case of weak tournaments. In this paper we analyze the relationship between the usual choice functions and the set of maximal elements in weak tournaments. We introduce choice functions selecting maximal elements, whenever they exist. Moreover, we compare these choice functions with those that already exist in the literature.

Suggested Citation

  • Josep Enric Peris Ferrando & Begoña Subiza Martínez, 2003. "Condorcet Choice Functions And Maximal Elements," Working Papers. Serie AD 2003-40, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  • Handle: RePEc:ivi:wpasad:2003-40
    as

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    File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-2003-40.pdf
    File Function: Fisrt version / Primera version, 2003
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    References listed on IDEAS

    as
    1. Laffond G. & Laslier J. F. & Le Breton M., 1993. "The Bipartisan Set of a Tournament Game," Games and Economic Behavior, Elsevier, vol. 5(1), pages 182-201, January.
    2. Josep E. Peris & BegoÓa Subiza, 1999. "Condorcet choice correspondences for weak tournaments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(2), pages 217-231.
    3. Laffond G. & Laslier, J. F. & Le Breton, M., 1996. "Condorcet choice correspondences: A set-theoretical comparison," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 59-59, February.
    4. Dutta, Bhaskar, 1988. "Covering sets and a new condorcet choice correspondence," Journal of Economic Theory, Elsevier, vol. 44(1), pages 63-80, February.
    5. Bhaskar Dutta & Jean-Francois Laslier, 1999. "Comparison functions and choice correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(4), pages 513-532.
    6. Peris, Josep E. & Subiza, Begona, 1994. "Maximal elements of not necessarily acyclic binary relations," Economics Letters, Elsevier, vol. 44(4), pages 385-388, April.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Gilbert Laffond & Jean Lainé, 2009. "Condorcet choice and the Ostrogorski paradox," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(2), pages 317-333, February.
    2. García-Bermejo, Juan Carlos, 2012. "A Note on Selecting Maximals in Finite Spaces," Working Papers in Economic Theory 2012/06, Universidad Autónoma de Madrid (Spain), Department of Economic Analysis (Economic Theory and Economic History).
    3. Joseph, Rémy-Robert, 2010. "Making choices with a binary relation: Relative choice axioms and transitive closures," European Journal of Operational Research, Elsevier, vol. 207(2), pages 865-877, December.

    More about this item

    Keywords

    choice functions; tournaments; maximal elements.;

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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